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42666320 = 2454379157
BaseRepresentation
bin1010001011000…
…0100101010000
32222021200012002
42202300211100
541410310240
64122253132
71025441414
oct242604520
988250162
1042666320
11220a1924
12123571a8
138abb358
145948d44
153b2bd15
hex28b0950

42666320 has 80 divisors (see below), whose sum is σ = 103445760. Its totient is φ = 16353792.

The previous prime is 42666313. The next prime is 42666331. The reversal of 42666320 is 2366624.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271682 + ... + 271838.

It is an arithmetic number, because the mean of its divisors is an integer number (1293072).

Almost surely, 242666320 is an apocalyptic number.

42666320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42666320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51722880).

42666320 is an abundant number, since it is smaller than the sum of its proper divisors (60779440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42666320 is a wasteful number, since it uses less digits than its factorization.

42666320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 42666320 is about 6531.9461112290. The cubic root of 42666320 is about 349.4312395131.

The spelling of 42666320 in words is "forty-two million, six hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 79 80 86 157 158 172 215 314 316 344 395 430 628 632 688 785 790 860 1256 1264 1570 1580 1720 2512 3140 3160 3397 3440 6280 6320 6751 6794 12403 12560 13502 13588 16985 24806 27004 27176 33755 33970 49612 54008 54352 62015 67510 67940 99224 108016 124030 135020 135880 198448 248060 270040 271760 496120 533329 540080 992240 1066658 2133316 2666645 4266632 5333290 8533264 10666580 21333160 42666320